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Finding the Fourth Proportional to 31,169.39, 46,760.18 and 11,448.09

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Solution

The fourth proportional to 31,169.39, 46,760.18 and 11,448.09 is: 17,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.39 : 46,760.18 = 11,448.09 : x
  2. Step 2: Convert to fraction form
    31,169.39/46,760.18 = 11,448.09/x
  3. Step 3: Cross multiply
    31,169.39x = 46,760.18 × 11,448.09
  4. Step 4: Simplify right side
    31,169.39x = 535,314,691.82
  5. Step 5: Solve for x
    x = 535,314,691.82/31,169.39
  6. Step 6: Final answer
    x = 17,174.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.